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Finding the Fourth Proportional to 1,034.65, 1,427.81 and 568.90

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Solution

The fourth proportional to 1,034.65, 1,427.81 and 568.90 is: 785.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.65 : 1,427.81 = 568.90 : x
  2. Step 2: Convert to fraction form
    1,034.65/1,427.81 = 568.90/x
  3. Step 3: Cross multiply
    1,034.65x = 1,427.81 × 568.90
  4. Step 4: Simplify right side
    1,034.65x = 812,281.63
  5. Step 5: Solve for x
    x = 812,281.63/1,034.65
  6. Step 6: Final answer
    x = 785.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.